Systems described by Volterra type integral operators
Functional Analysis
2015-09-04 v1
Abstract
In the paper some sufficient condition for the nonlinear integral operator of the Volterra type to be a diffeomorphism defined on the space of absolutely continuous functions are formulated. The proof relies on consideration of the linearized equation together with Palais-Smale condition, thus a combination of topological and variational methods is used. The applications of the result to the control systems with feedback and to the specific nonlinear Volterra equation are presented.
Cite
@article{arxiv.1311.5113,
title = {Systems described by Volterra type integral operators},
author = {Dorota Bors and Andrzej Skowron and Stanisław Walczak},
journal= {arXiv preprint arXiv:1311.5113},
year = {2015}
}
Comments
15 pages